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Which one of the following connectivity matrices is correct to show the given network of six nodes?
Question

Which one of the following connectivity matrices is correct to show the given network of six nodes?

A.

B.

C.

D.

Correct option is B

A connectivity matrix is a square matrix that represents the connections between nodes in a network. Each row and column correspond to a node, and the presence of a direct connection between two nodes is marked with 1, while the absence of a connection is marked with 0.

Connections:
  • Node 1 is connected to Node 2 and Node 3.
  • Node 2 is connected to Node 1, Node 3, and Node 4.
  • Node 3 is connected to Node 1, Node 2, Node 4, Node 5, and Node 6.
  • Node 4 is connected to Node 2, Node 3, and Node 5.
  • Node 5 is connected to Node 3 and Node 4.
  • Node 6 is connected to Node 3.
Network Connections:

This matrix shows the following direct connections between the nodes:

  • Node 1 is connected to Node 2 and Node 3.
  • Node 2 is connected to Node 1, Node 3, and Node 4.
  • Node 3 is connected to Nodes 1, 2, 4, 5, and 6.
  • Node 4 is connected to Nodes 2, 3, and 5.
  • Node 5 is connected to Nodes 3 and 4.
  • Node 6 is connected to Node 3.

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